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3 years ago

5.) You deposit $5000 into an account compounded annually for 8

Mathematics

1 answer:

Aneli [31]3 years ago

7 0

Answer:

(1- 8 root of 9350/5000 times 100 = -8.14

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The square of a number is 12 less than 7 times the number. What is the number?

hjlf

Answer:

The number is either 3 or 4

Explanation:

Assume that the number we are looking for is x

The square of the number would be x²

7 times the number would be 7x

We are given that:

square of the number (x²) is 12 less than 7 times the number (7x)

Translating this into an equation, we would have:

x² = 7x - 12

Rearranging the quadratic equation:

x² - 7x + 12 = 0

Now, we factor the equation:

(x-4)(x-3) = 0

This means that:

either x-4 = 0 ..................> x = 4

or x-3 = 0 ........................> x = 3

Let's check if any of the solutions is an extrovert:

For x = 3 .............> (3)² = 7(3) - 12 .........> 9 = 21 - 12 .......> 9 = 9 .......> not extrovert

For x = 4 .............> (4)² = 7(4) - 12 .........> 16 = 28 - 12 .....> 16 = 16 ....> not extrovert

Since we have no restrictions on the number, therefore, both solutions would be accepted

Hope this helps :)

7 0

3 years ago

Derivative of y= 2^(sin pi x)

laila [671]

Take log of both sides
$\ln y = \ln(2^{\sin \pi x})$
Use log property to get "x" out of the exponent
$\ln y = (\ln 2) (\sin \pi x)$
Differentiate
$\frac{dy}{y} = (\pi \ln 2)(cos \pi x) dx$
Move y to Right side (Note y = original expression)
$\frac{dy}{dx} = (\pi \ln 2) (\cos \pi x) 2^{\sin \pi x}$

In general, whenever you have a function in the form
$y = a^{f(x)}$
The derivative will be
$\frac{dy}{dx} = (\ln a) (f'(x))a^{f(x)}$

3 0

3 years ago

Each bag of apples weighs 4½ pounds. How much would 3½ bags of apples weigh?\

bonufazy [111]

Answer:

15 3/4 pounds

Step-by-step explanation:

4.5*3.5=15.75

3 0

3 years ago

Simplify the expression 5 + (15 + x). A. 5x + 20 B. x + 20 C. x + 5 D. x+ 15

allochka39001 [22]